# Maths

##### Reducing Equations to Simpler Form

Reducing equation is a method of rewriting the equation in a simpler form. Certain equations in math ...

##### Construction of Quadrilaterals: Part II

Before talking about the construction of quadrilaterals, let us recall what a quadrilateral is. A qu ...

##### Area of a Circle

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determ ...

##### Recurrence Relation

A recurrence relation is an equation which represents a sequence based on some rule. It helps in fin ...

##### Construction of Parallel Lines

Have you ever observed the railway tracks or the opposite edges of a door? One of the interesting fa ...

##### Area of Ellipse

Definition An ellipse is a curve on a plane such that the sum of the distances to its two focal poi ...

##### Partial Derivative

The partial derivative is used in vector calculus and differential geometry. In Mathematics, sometim ...

##### Rectangle

A Rectangle is a four sided-quadrilateral having all the internal angles to be right-angled (90o). ...

##### Construction of Square

In this lesson, the steps for constructing a square are explained with diagrams. To recall, a square ...

##### Area of Hemisphere

Definition : A hemisphere is the half part of a sphere. We can find many of the real-life examples ...

##### Partial Fractions

An algebraic fraction can be broken down into simpler parts known as “partial fractions“. Consid ...

##### Reciprocal

Reciprocal Definition Reciprocal in Mathematics means any expression which when multiplied by anoth ...

Before talking about the construction of quadrilaterals, let us recall what a quadrilateral is. A qu ...

##### Area of Hexagon Formula

Definition : A polygon with six sides and six angles is termed as a Hexagon. Similarly, we have Pen ...

##### Pascal's Triangle

History Blaise Pascal was born at Clermont-Ferrand, in the Auvergne region of France on June 19, 16 ...

##### Real Numbers

Real numbers are simply the combination of rational and irrational numbers, in the number system. In ...

##### Construction of Angles

Constructing angles like 60°, 30°, 120°, 90°, 45°, etc. without the use of a protector is an es ...

##### Area of Isosceles Triangle

What is an isosceles triangle? An isosceles triangle is one which has at least two sides of equal l ...

##### PEMDAS

In Mathematics, we do operations like addition, subtraction, multiplication and division. These oper ...

##### Ratio to Percentage

Ratio to percentage conversion process helps to represent a number in ratio form in terms of percent ...

##### Constructing Triangles - SSS

The construction of triangle using SSS criteria is possible when all the three sides are known to us ...

##### Area of Parallelogram

Area of Parallelogram is the region bounded by the parallelogram in a given two-dimension space. A p ...

##### Pentagonal Prism

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular ...

##### Rational numbers on a number line

A rational number is any real number that can be expressed as a simple fraction or ratio. By definit ...

##### Constructing Triangles - ASA

For the ASA criterion to be satisfied, the given side must necessarily be the one that is enclosed b ...

##### Area Of Polygon

You are already acquainted with the term area. It is defined as the region occupied inside the bound ...

##### Percentage: Means of Comparing Quantities

In our daily life, we handle lots of situations, quantities, etc. Sometimes we have to measure and c ...

##### Rational Number Between Two Rational Numbers

A rational number is a number which can be written in the form of $p/q$ (ratio) where the denomin ...

##### Constructing Angles with a Protractor

Before talking about constructing angles with a protractor, let us quickly recall angles and their t ...

What is Quadrant? A circle is defined as the locus of all the points that are equidistant from the ...

##### Percent to Fraction and Decimal Numbers

Percent and fractions are usually used in our daily life to relate and compare quantity. For example ...

##### Rational Function & Rational Number

Rational Function: In past grades, we learnt the concept of rational number. It is the quotient or ...

##### Connectivity

In Mathematics, the meaning of connectivity is one of the fundamental concepts of graph theory. It d ...

##### Area of Rectangle

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. The surface are ...

##### Perfect Numbers

What are the Perfect Numbers? Definition: A Perfect Number N is defined as any positive integer whe ...

##### Rational and Irrational Numbers

In this article, we are going to explain about rational and irrational numbers in detail and differe ...

##### Cone

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circ ...

##### Area of Scalene Triangle

Area of Scalene Triangle Definition: A Scalene triangle has three random (Unequal) sides/lengths an ...

##### Perimeter of Polygons

Have you ever walked around the corner (or edge) of a park. After completion of a whole round the di ...

##### Random Variable

In probability, a real-valued function, defined over the sample space of a random experiment, is cal ...

##### Concurrent Lines

Concurrent lines are the lines, in 2-D geometry, which intersect each other exactly at one point. Th ...

##### Area of Shapes

An area is a quantity that expresses the extent of a two-dimensional figure or shape or planar lamin ...

##### Formula of Perimeter Shapes

We come across many shapes in daily life.  Consider a triangle, a rectangle, a square or any other ...

##### Radius of a Circle and Chord

Radius of a circle: A circle can be defined as locus of a point moving in a plane, in such a manner ...

##### Concentric Circles

In Geometry, the objects are said to be concentric, when they share the common center. Circles, sphe ...

##### Area & Volume of Sphere

A sphere is a solid figure bounded by a curved surface such that every point on the surface is the s ...

##### Perimeter of Triangle

Perimeter of Triangle: The Perimeter of any two-dimensional figure is defined as the distance around ...

##### Quotient Rule

In Calculus, the Quotient rule is a method for determining the derivative (differentiation) of a fun ...

##### Components of a Vector

Orthogonal vectors: Vectors can be easily represented using the co-ordinate system in three dimensi ...

##### Area of Square Using Diagonals

Apart from the traditional method of finding the area of the square by squaring the sides, there’s ...

##### Permutation

Permutation is an arrangement of objects in a definite order. When we look at the schedules of train ...

##### Quartiles

In statistics, Quartiles are the set of values which has three points dividing the data set into fou ...

##### Complement of a Set

Sets Definition A well-defined collection of objects or elements is known as a set. Any set consist ...

##### Area and Perimeter Formula

Area and Perimeter Formula are the two major formulas for any given shapes or sizes in Mathematics. ...

##### Perpendicular Bisector

While working with practical geometry, you will often find the application of perpendicular bisector ...

In Geometry, the shapes or objects are classified based on the number of sides. The different classi ...

##### Comparing Fractions

A fraction is defined as a part of a whole or any number of equal parts. Sometimes it is required to ...

##### Area of a Triangle in Coordinate Geometry

Area of a triangle Triangle is the basic polygon which has 3 edges and 3 vertices. Area of the tria ...

##### Perpendicular Lines

Perpendicular lines around us: Have you observed the Red Cross sign keenly or the squares of a Rubi ...

Quadratic Formula help to evaluate the solution of quadratic equation replacing the factorization me ...

##### Supplementary and Complementary Angles

Supplementary angles and complementary angles are defined with respect to the addition of two angles ...

##### Argand Plane & Polar Representation of Complex Number

Argand Plane We all know that the pair of numbers (x,y) can be represented on an XY-plane, where x ...

##### Pictograph

Suppose you were given some random people’s names and their phone numbers and asked to arrange the ...

##### Pythagorean Triples

Pythagorean Theorem The integer solutions to the Pythagorean Theorem, a2 + b2 = c2 are called Pytha ...

##### Completing The Square Method

Completing the square method is one of the methods to find the roots of the given quadratic equation ...

##### Arithmetic Geometric Sequence

Arithmetic Geometric sequence is the fusion of an arithmetic sequence and a geometric sequence. An ...

##### Pictorial Representation of Data: Bar Graph and Double Bar Graph

As the humanity flourished and population increased, so did the amount of trade and transaction in t ...

##### Pyramid

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. You must h ...

##### Composite Numbers

Definition of composite numbers: Composite numbers are the numbers which have factors other than 1 ...

##### Arithmetic Mean and Range

Representative Values In statistics, the arithmetic mean (AP) or simply called average is the sum o ...

##### Place Value in Maths

Place value in Maths describes the position or place of a digit in a number. Each digit has a place ...

##### Properties of Rectangle

A rectangle is a two-dimensional plane figure with four sides. A rectangle is a four-sided polygon i ...

##### Calculus

Calculus is all about the comparison of quantities which vary in a one-liner way. Calculus is the br ...

##### Arithmetic Mean & Statistics

In the early morning while reading a newspaper, have you observed the daily temperature reports. Wel ...

##### Polygon

What are Polygons? A Polygon is a closed figure made up of lines segments (not curves) in two-dim ...

##### Properties of Parallel Lines

Before talking about lines which are parallel to the same line, let us recall what parallel lines ar ...

##### Cardinal Numbers

The cardinal numbers are the numbers which are used for counting of something. These are also said t ...

##### Arithmetic Progression

Arithmetic Progression (AP) is a sequence of numbers in a particular order. If we observe in our re ...

##### Polynomials

What is Polynomial Polynomials are expressions which are composed of two algebraic terms. It is ma ...

##### Properties of Matrices Inverse

If A is a non-singular square matrix, there is an existence of n x n matrix A-1, which is called the ...

##### Define Central Limit Theorem

The Central Limit Theorem defines that the mean of all the given samples of a population is the same ...

##### Arithmetic Series - Sum of n terms

Arithmetic Series A sequence is the set of the outputs of a function defined from the set of natura ...

##### Polynomial Equations

Polynomial equations are one of the major concepts of Mathematics, where the relation between number ...

##### Properties of Integers

There are a few properties of integers which determines its operations. These principles or properti ...

##### Centroid

In Geometry, the centroid is an important concept related to a triangle. A triangle is a three-sided ...

##### Associative Property

Mathematical equations have their own manipulative principles. These principles or properties help u ...

##### Polynomial Function

A polynomial function is a function which involves only non-negative integer powers of a variable in ...

##### Properties of HCF and LCM

Properties of HCF and LCM: For the better understanding of the concept LCM (Lowest Common Multiple) ...

##### Ceva's Theorem

Ceva’s theorem is a theorem regarding triangles in Euclidean Plane Geometry. Consider a triangle A ...

##### Average

An average of a list of data is the expression of the central or typical value of a set of data. Mat ...

##### Power Set

While studying mathematical logic, grouping elements into sets and observing the patterns within tho ...

##### Properties of Cylinder

Geometry can be divided into two types: Plane Geometry Solid Geometry Plane geometry deals wi ...

##### Chance and Probability

Suppose you go to watch a cricket match. When the match begins both the participating teams have an ...

##### Axiomatic Probability

In the normal approach to probability, we consider random experiments, sample space and other events ...

##### Prime Factorization

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors wi ...

##### Properties of Circle

Lines and circles are the important elementary figures in geometry. We know that a line is a locus o ...

##### Chord of a Circle, Its Length and Theorems

Chord of a Circle Definition The chord of a circle can be defined as the line segment joining any t ...

##### Basic Proportionality Theorem & Similar Triangles

Before we understand what Basic proportionality theorem states, we need to understand a few basics o ...

##### Prime Factors

Definition of a Factor Factors are numbers that can be multiplied together to get another number. T ...